Question
If z 0 is a complex number, then what is amp (z) + amp ( z ) equal to?
NDA
Mathematics
Complex Number
2025
NDA 2025 (Phase 1)
NDA Mathematics Question (2025) — Solution
Options
- A. 0
- B. 2
- C.
- D. 2
Answer
A. 0
Step-by-step solution
Let z = r( + i ) where r > 0 and = amp (z). The conjugate of z is given by z = r( - i ). This can be rewritten as z = r( (- ) + i (- )). Thus, the amplitude of z is amp ( z ) = - . Therefore, amp (z) + amp ( z ) = + (- ) = 0. Answer: 0
Related: Mathematics — Complex Number · All PYQ Banks